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Holomorphic endomorphisms of $\mathbb{P}^{3}(\mathbb{C})$ related to a Lie algebra of type $A_{3}$ and catastrophe theory

open access: yes, 2017
The typical chaotic maps $f(x)=4x(1-x)$ and $g(z)=z^{2}-2$ are well known. Veselov generalized these maps. We consider a class of maps $P_{A_{3}}^{d}$ of those generalized maps, view them as holomorphic endomorphisms of ${\mathbb{P}^{3}}({\mathbb{C}})$ , and make use of methods of complex dynamics in higher dimension developed by Bedford, Fornaess ...
openaire   +1 more source

Higher Structure of Chiral Symmetry. [PDF]

open access: yesCommun Math Phys
Copetti C   +3 more
europepmc   +1 more source

Conley Index Approach to Sampled Dynamics. [PDF]

open access: yesSIAM J Appl Dyn Syst, 2020
Batko B   +3 more
europepmc   +1 more source

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